| Spring 2012 |
MAT132.01 Honors TTR 10:00 |
MAT132 Elementary Calculus II
Kevin J. Carlin Office: Fo 113 M*-F 2:30-4:00 (*except 1/23, 2/6, 2/20, 3/12, 3/26, 4/16, 4/30) | Telephone: 7563 E-mail: kcarlin@assumption.edu |
Required Text
James Stewart, Essential Calculus, first edition, Brooks/Cole, 2007.
Homework Journal
For your homework journal, you will need a ring binder and a supply of loose-leaf paper. The homework journal is intended to be a complete record of your work arranged by topic. Class notes must be kept separately. Homework revisions, practice problems, quiz and exam corrections, and any tutorial work with me or the mathematics tutors should all be included. None of your work should be erased, obliterated, or destroyed so that you will have a true record of your learning experience.
Calculator Policy
A scientific calculator (TI-30X or equivalent) is required for decimal approximations. Graphing calculators may not be used in this course. The calculation page has information on calculator use.
Electronic Devices
An electronic communication device such as a cell phone or lap-top computer may not be used as a watch, a calculator, or for any other purpose. They must be put away and completely deactivated during class.
Topics
Integrals: antiderivatives, area and Riemann sums, the definite integral, the fundamental theorem of calculus, the substitution rule.
Inverse functions: natural logarithm, the exponential function, inverse trigonometric functions, hyperbolic functions.
Techniques of integration: integration by parts, trigonometric integrals, partial fractions.
Applications of integrals: areas, volumes, arc length, differential equations.
Grading
There will be four quizzes, two exams (March 1 and April 19), and a cumulative final exam. The homework journal will be collected for grading near the end of the semester. Your final grade will be based on 400 points:
4 Quizzes and Homework Journal | Best 4 @ 20 points | 80 |
| Exams | 2 @ 100 points | 200 |
| Final Exam | 1 @ 120 points | 120 |
| | 400 |
Grades are based on partial credit and will be scaled. Typically, the scale is A- = 75%, B- = 60%, C- = 50%, D- = 35%.
Make-up of any graded work missed due to serious illness or other emergency is possible only with prior or immediate notice and will be granted at my sole discretion.
Learning Objectives
- Students should know the definition of the definite integral as a limit of Riemann sums. They should understand the meaning of definite integrals in terms of area. They should be able to approximate the value of a definite integral.
- Students should know the definitions and derivatives of exponential, logarithmic, and inverse trigonometric functions.
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Students should understand the relationship between definite integrals and antiderivatives as expressed by the fundamental theorem of Calculus.
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Students should know the techniques of integration and should be able to use them to find integrals of elementary functions. They should be able to use integrals to solve a variety of applied problems.
Course Description
MAT 131-132 Elementary Calculus
A more rigorous introduction to calculus for entering students with good backgrounds in mathematics. Recommended for students considering a major in mathematics. Topics include the real numbers, functions, limits, the derivative and applications, the integral and applications, and techniques of integration.
Not open to those who complete MAT 117 or MAT 118. Prerequisite: Departmental permission through placement.
Academic Honesty Policy
The college's academic honesty policy will be enforced as described in the Student Academic Honesty Policy booklet. The use of a graphing calculator or any electronic communication device is a violation of this policy.
College ADA Policy
Assumption College provides accommodation to any student with documented disabilities. If you believe that you are entitled to accommodation, please contact the Director of Disability Services (ext. 7500).
Last modified January 2012